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Finding the Fourth Proportional to 2,751.98, 4,125.23 and 1,580.56

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Solution

The fourth proportional to 2,751.98, 4,125.23 and 1,580.56 is: 2,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.98 : 4,125.23 = 1,580.56 : x
  2. Step 2: Convert to fraction form
    2,751.98/4,125.23 = 1,580.56/x
  3. Step 3: Cross multiply
    2,751.98x = 4,125.23 × 1,580.56
  4. Step 4: Simplify right side
    2,751.98x = 6,520,184.44
  5. Step 5: Solve for x
    x = 6,520,184.44/2,751.98
  6. Step 6: Final answer
    x = 2,369.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.